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Finding the Fourth Proportional to 8,210.34, 12,316.86 and 4,050.54

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Solution

The fourth proportional to 8,210.34, 12,316.86 and 4,050.54 is: 6,076.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.34 : 12,316.86 = 4,050.54 : x
  2. Step 2: Convert to fraction form
    8,210.34/12,316.86 = 4,050.54/x
  3. Step 3: Cross multiply
    8,210.34x = 12,316.86 × 4,050.54
  4. Step 4: Simplify right side
    8,210.34x = 49,889,934.10
  5. Step 5: Solve for x
    x = 49,889,934.10/8,210.34
  6. Step 6: Final answer
    x = 6,076.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.